Lattice QCD with fixed topology

Introduction......Page 4
The overlap Dirac operator and topology......Page 7
Quenched QCD with admissible gauge fields......Page 12
Large negative mass Wilson fermion......Page 14
Numerical implementation of the overlap Dirac operator......Page 15
The static quark potential......Page 18
Perturbative renormalization of the gauge coupling......Page 26
Admissibility condition and topology stability......Page 28
Negative mass Wilson fermion to fix topology......Page 31
Low-lying mode distribution of HW......Page 32
Locality......Page 34
Meson correlators in the -regime......Page 35
Lattice observables with the exact chiral symmetry......Page 37
F from the axial-vector correlator......Page 40
, eff and  from connected S and PS correlators......Page 42
Chiral condensates......Page 46
Disconnected PS correlators......Page 48
Conclusions and discussions......Page 52
The hybrid Monte Carlo algorithm......Page 56
Quenched chiral perturbation theory in the -regime......Page 58